K kimmy_koo51 Junior Member Joined Sep 19, 2006 Messages 73 Oct 25, 2006 #1 For what values of a and b will the parabola y = x^2 +ax +b be tangent to the curve y = x^3 at the point (1,1). I got nothin' :?
For what values of a and b will the parabola y = x^2 +ax +b be tangent to the curve y = x^3 at the point (1,1). I got nothin' :?
skeeter Elite Member Joined Dec 15, 2005 Messages 3,204 Oct 25, 2006 #2 since the two curves are tangent at (1,1) ... 1. the curves are equal at x = 1 2. the curves have the same slope at x = 1 (i.e., their derivatives are equal at x = 1) now you got sumthin' ... go with it :!:
since the two curves are tangent at (1,1) ... 1. the curves are equal at x = 1 2. the curves have the same slope at x = 1 (i.e., their derivatives are equal at x = 1) now you got sumthin' ... go with it :!: